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Finding the Fourth Proportional to 1,354.40, 2,031.76 and 488.80

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Solution

The fourth proportional to 1,354.40, 2,031.76 and 488.80 is: 733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.40 : 2,031.76 = 488.80 : x
  2. Step 2: Convert to fraction form
    1,354.40/2,031.76 = 488.80/x
  3. Step 3: Cross multiply
    1,354.40x = 2,031.76 × 488.80
  4. Step 4: Simplify right side
    1,354.40x = 993,124.29
  5. Step 5: Solve for x
    x = 993,124.29/1,354.40
  6. Step 6: Final answer
    x = 733.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.